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On inclusions of
exceptional long root geometries of type $\mathsf{E}$
Anneleen De Schepper and Hendrik Van Maldeghem |
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Vol. 20 (2023), No. 2-3, 247–293
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Abstract |
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We prove the uniqueness of the inclusion of the long root geometries of type and as full embeddings in the one of type ; the latter always arises as an equator geometry, the former as an intersection of two appropriate such equator geometries. Along the way, several other embedding results are obtained, notably featuring the subsequent point residuals of the above geometries. |
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Keywords
long root geometries, exceptional Tits buildings
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Mathematical Subject Classification
Primary: 51E24
Secondary: 51B25
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Milestones
Received: 9 August 2022
Revised: 8 November 2022
Accepted: 4 December 2022
Published: 13 September 2023
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Authors |
| Anneleen De Schepper | |
| Department of Mathematics: Algebra
and Geometry Ghent University Ghent Belgium |
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| Hendrik Van Maldeghem | |
| Department of Mathematics: Algebra
and Geometry Ghent University Ghent Belgium |
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| © 2023 MSP (Mathematical Sciences Publishers). |
